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Finding the Third Proportional to 404,723.25 and 584,708.63

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Solution

The third proportional to 404,723.25 and 584,708.63 is: 844,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,723.25 : 584,708.63 = 584,708.63 : x
  2. Step 2: Convert to fraction form
    404,723.25/584,708.63 = 584,708.63/x
  3. Step 3: Cross multiply
    404,723.25x = 584,708.63 × 584,708.63
  4. Step 4: Simplify right side
    404,723.25x = 341,884,176,149.39
  5. Step 5: Solve for x
    x = 341,884,176,149.39/404,723.25
  6. Step 6: Final answer
    x = 844,735.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.